1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luden [163]
3 years ago
5

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volu

me of the large cube?
Mathematics
2 answers:
Paha777 [63]3 years ago
5 0

Answer:

Ratio of the volumes of the cubes = 216 : 343

Step-by-step explanation:

Since surface area of a cube is represented as 6a² where a is the side of a cube.

Let a is one side of large cube and b is the side of smaller one.

Ratio of their surface area = \frac{6a^{2} }{6b^{2}}=\frac{72}{98}

(\frac{a}{b})^{2}=\frac{36}{49}

\frac{a}{b}=\sqrt{\frac{36}{49}}

\frac{a}{b}=\frac{6}{7}

Now ratio of the volumes = \frac{a^{3} }{b^{3}}=(\frac{1}{b})^{3}

Ratio = (\frac{6}{7})^{3}=\frac{216}{343}

Therefore, ratio of the volumes of the cubes = 216 : 343

Serjik [45]3 years ago
3 0
Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6a^{2}=72, a=2\sqrt{3} and 6b^{2}=98, b=[tex] \frac{7}{sqrt{3}}. The volume of the smaller cube is 2 sqrt{3} ^{3} =  24 sqrt{3}. The volume of the bigger cube is \frac{7}{sqrt{3}}^{3} = \frac{343}{3sqrt{3}}{. We have to find  \frac{24 sqrt{3}}{frac{343}{3sqrt{3}} = 216/343 
You might be interested in
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 d
Salsk061 [2.6K]

Answer:

1/15

Step-by-step explanation:

You have a 1/3 chance of being an elf.

You have a 1/5 change of having the magic tool.

1/3 × 1/5 = 1×1/3×5 = 1/15

5 0
3 years ago
Read 2 more answers
In the set, (1,4), (3,5) and (-1, 2), what is the range?
stealth61 [152]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{2 \: ,  \: 4 \: ,  \: 5 \: }}}}}

Step-by-step explanation:

Given,

{ 1 , 4 } , { 3 , 5 } , { - 1 , 2 }

To find : Range

<u>Range are the set of all y - co-ordinates .</u>

So,

Answer : { 2 , 4 , 5 }

Hope I helped!

Best regards!

4 0
3 years ago
How do I do problems 4-6
faltersainse [42]
4-6= -2 what are you having problems understanding I can help
4 0
3 years ago
What is the value of log Subscript 6 Baseline StartFraction 1 Over 36 EndFraction?
loris [4]

Answer:

-2

Step-by-step explanation:

Let  x be the unknown value  

Log₆  ( 1/36) = x

( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²

Log₆  ( 1/36) = Log₆ 6⁻²  = -2 Log₆ 6

Log₆ 6 = 1

-2 Log₆ 6 = -2(1) = -2

4 0
3 years ago
Read 2 more answers
I would like some help
Anettt [7]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • What is 765903 rounded to the nearest thousand
    12·2 answers
  • Hans pays $396 in advance on his account at the athletic club. Each time he uses the club, $5 is deducted from the account. What
    15·1 answer
  • How to make a dot plot
    11·2 answers
  • Please help!
    5·1 answer
  • Linda has a part-time job at the school. She makes between 44.00 and $51.00 a dayWhich is a reasonable estimate of the amount of
    10·1 answer
  • 60 points answer asap
    10·2 answers
  • Let p: A number is greater than 25 Let q: A number is less than 35 If p ^ q is true, then what could the number be? Select two o
    6·1 answer
  • can someone help me with this question?kinda need help. A table top is made in the shape of a circle with a diameter of 12 inche
    12·2 answers
  • A pair of shoes costs $30.99 and the state sales tax is 4%. Use the formula C = p + rp to
    14·2 answers
  • Ben plants 6 rows of roses, with the same number of roses in each row.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!